Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419222 | Journal of Mathematical Analysis and Applications | 2012 | 12 Pages |
Abstract
Solving a second order, quasilinear initial value problem, we prove existence and uniqueness of both space-like and time-like immersions of prescribed mean curvature vector in general semi-Riemannian manifolds. Such surfaces arise for example as critical points of generalized area functionals as well as self-similar solutions of the mean curvature flow.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Matthias Bergner, Lars Schäfer,